Abstract
This study is focused on thermal energy due to slip-weakening friction, but also on the temperature distribution. In this paper, we considered a one-body spring-slider model in the presence of slip-weakening friction and viscosity. We examine the effect of slip-weakening friction law and viscosity on thermal energy. We established the expression of thermal energy produced by slip-weakening friction in the case that we considered a simplified linearly slip-weakening friction law. Numerical simulation with Euler method are made for determining the thermal energy in the case of three others slip-weakening friction law, i.e., the thermal-pressurization (TP) friction law, the softening-hardening (SH) friction law and a simple slip-weakening (SW) friction law. The effect of the viscosity strongly modifies the results of the evolution of the temperature and the thermal energy. We establish that the TP friction law is better to evaluate the thermal energy in seismic fault. We solve the 1-D heat conduction equation by numerical simulation. We showed that, contrary to others frictions forces the slip-weakening friction law better illustrate the accumulation of thermal energy produced in seismic fault and temperature distribution.
Highlights
Earthquake is preceded by many natural phenomena, including the temperature anomaly
We aim to study the role of viscosity on the thermal energy produced in the seismic fault by modelling this energy and temperature distribution in the framework of a slip-weakening friction law
This paper investigated the effect of viscosity parameter on the thermal energy produced in the seismic fault via a one-body dynamical spring-slider model with slip-weakening friction
Summary
Earthquake is preceded by many natural phenomena, including the temperature anomaly. It is necessary to study the origin of the anomaly of temperature which is observed before a big earthquake. The calculation of the temperature distribution on the fault surface and its temporal evolution has been performed by many researches [Kato, 2001; Andrews, 2002; Fialko, 2004; Bizzarri and Cocco, 2006; Rice, 2006; Nielsen et al, 2008; Bizzarri, 2009a; Noda et al, 2009; Bizzarri 2010a, 2010b; Konga et al, 2017] This temperature is due to frictional heat on a sliding interface. De Lorenzo and Loddo [2009] developed a numerical method to describe the thermo-mechanical evolution of the pre-seismic sliding phase which takes in account both the rate-, state- and temperature-dependent friction law
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